Question

tension in the rope at the rigit support is

Answer 1

hey mate here is your answer-
1.)760N
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Answer 2

Answer:

when the man ascends up the rope with acceleration of 2 m/s2.

we have T1 -mg =ma

or T1 = mg +ma

or T = 600 + (60x2 ) = 720 N

in case 2:

when the mans descend by a constant velocity

we have T 2= mg

so T2 = 50 ∗ 10 =500 N

case 3:

when the man descends by 1 m/s2

we have  

mg -T​ = ma

T = mg -ma

so T 3= 400-(40 ∗1) = 360 N

so the net tension a the rigid support is = 720+500 +360 = 1580 N